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Finding the Fourth Proportional to 1,335.24, 2,002.92 and 584.70

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Solution

The fourth proportional to 1,335.24, 2,002.92 and 584.70 is: 877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.24 : 2,002.92 = 584.70 : x
  2. Step 2: Convert to fraction form
    1,335.24/2,002.92 = 584.70/x
  3. Step 3: Cross multiply
    1,335.24x = 2,002.92 × 584.70
  4. Step 4: Simplify right side
    1,335.24x = 1,171,107.32
  5. Step 5: Solve for x
    x = 1,171,107.32/1,335.24
  6. Step 6: Final answer
    x = 877.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.